Question: 7. (6 pts) True or False: Circle either True or False. If the statement is True, provide a brief justifica- tion. If the statement is

 7. (6 pts) True or False: Circle either True or False.

7. (6 pts) True or False: Circle either True or False. If the statement is True, provide a brief justifica- tion. If the statement is False, provide a counterexample or brief explanation. (a) True False If dim(span {x1, *2, *3)) = 2, then {x1, x2, *3} is linearly independent. (b) True) False For any positive integer k, A ~ Ak. (c) True False If A is diagonalizable, then cA is diagonalizable for any scalar c

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